Question

3. Everyone wanted to go to the Quidditch WorldCup. The stadium where it was being held had61,000 seats. Seats sell for 585 in Section A, 530in Section B, and $25 in Section C. The number ofseats in Section A equals the total number of seatsin Sections B and C. Suppose the stadium takes in$3,436.000 from the sold-out event How manyseats does each section hold?HOW MANY SEATS ARE IN SECTION C?

Answer 1

We know that the total of seats for this case are 61000 so we have the following equation:

`A+B+C=61000`

We also know that the number of seats in Secton A equals the total number of seats in sections B and C so then A=B+C

`A+A=61000`

Then the value of A =30500

Now we can create a function for the cost and we got:

`3436000=85A+30B+25C`

Replacing the value of A we got:

`30B+25C=843500`

And rewriting the first equation we got:

`B+C=30500`

Solving for B we got: B=30500-C and replacing in the before equation we got:

`30(30500-C)+25C=843500`

And solving for C we got:

`-5C=843500-915000`
`C=(71500)/(5)=14300`